The values of the coefficients of Eq.(REF ), and Eq.(REF ) are listed in Table REF . Eq.(REF ) contains the first four terms of the Maclaurin series for the \(\sin (x)\)  function. Although this may seem to be trivial, to the best of our knowledge this is the first time that a machine-learning algorithm managed to derive a Taylor or a Maclaurin series out of pure data. For the derivation of any Taylor series of a function we need to use the calculus invented simultaneously by Newton [1]} and Leibniz [2]}.
